Set-theoretic Yang–Baxter (co)homology theory of involutive non-degenerate solutions
نویسندگان
چکیده
W. Rump showed that there exists a one-to-one correspondence between involutive right non-degenerate solutions of the Yang–Baxter equation and cycle sets. J. S. Carter, M. Elhamdadi, Saito, meanwhile, introduced homology theory set-theoretic in order to define cocycle invariants classical knots. In this paper, we introduce normalized an solution compute cyclic racks. Moreover, explicitly calculate some two-cocycles, which can be used classify certain families torus links.
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2023
ISSN: ['1793-6527', '0218-2165']
DOI: https://doi.org/10.1142/s0218216523400217